Khan Academy
Khan Academy: 2 D Curl Example
A worked example of computing and interpreting two-dimensional curl.
Khan Academy
Khan Academy: 3 D Divergence Theorem Intuition
Intuition behind the Divergence Theorem in three dimensions.
Khan Academy
Khan Academy: Adding Vectors Algebraically & Graphically
To add vectors, we add the corresponding components from each vector. See this concrete example. There's also a nice graphical way to add vectors, and the two ways will always result in the same vector.
Khan Academy
Khan Academy: 3 D Curl Intuition, Part 1
Here we start transitioning from the understanding of two-dimensional curl into an understanding of three-dimensional curl.
Khan Academy
Khan Academy: Calculating Average Velocity or Speed
Although speed and velocity are often words used interchangeably, in physics, they are distinct concepts. Watch as Sal Khan solves a word problem while explaining this distinction. [11:45]
Khan Academy
Khan Academy: Visualizing Vectors in 2 Dimensions
Visualizing, adding and breaking down vectors in 2 dimensions. [12:54]
Khan Academy
Khan Academy: Unit Vectors and Engineering Notation
Using unit vectors to represent the components of a vector. [7:58]
Khan Academy
Khan Academy: Radius Comparison From Velocity and Angular Velocity: Example
Watch as Sal Khan predicts which spinning disc has a larger radius from angular velocity and the linear velocity of a point on the edge. [3:58]
Khan Academy
Khan Academy: Identifying Force Vectors for Pendulum: Worked Example
A worked example finding all force vectors acting on a pendulum moving in a horizontal circle. [2:58]
Khan Academy
Khan Academy: The Dot Product
This video is an introduction to the vector dot product. [10:32]
Sophia Learning
Sophia: Dot Product of 3 Vectors: Lesson 2
This lesson introduces the dot product of 3-vectors. It is 2 of 6 in the series titled "Dot Product of 3-Vectors."
Sophia Learning
Sophia: Dot Product of 3 Vectors: Lesson 3
This lesson introduces the dot product of 3-vectors. It is 3 of 6 in the series titled "Dot Product of 3-Vectors."
Sophia Learning
Sophia: Equivalent Vectors: Lesson 2
This lesson goes over how to recognize equivalent vectors. It is 2 of 6 in the series titled "Equivalent Vectors."
Sophia Learning
Sophia: Equivalent Vectors: Lesson 3
This lesson goes over how to recognize equivalent vectors. It is 3 of 6 in the series titled "Equivalent Vectors."
Sophia Learning
Sophia: Equivalent Vectors: Lesson 4
This lesson goes over how to recognize equivalent vectors. It is 4 of 6 in the series titled "Equivalent Vectors."
Sophia Learning
Sophia: Equivalent Vectors: Lesson 6
This lesson goes over how to recognize equivalent vectors. It is 6 of 6 in the series titled "Equivalent Vectors."
Sophia Learning
Sophia: Evaluating Vector Expressions: Lesson 2
This lesson explains how to evaluate vector expressions. It is 2 of 7 in the series titled "Evaluating Vector Expressions."
Sophia Learning
Sophia: Evaluating Vector Expressions: Lesson 3
This lesson explains how to evaluate vector expressions. It is 3 of 7 in the series titled "Evaluating Vector Expressions."
Sophia Learning
Sophia: Evaluating Vector Expressions: Lesson 4
This lesson explains how to evaluate vector expressions. It is 4 of 7 in the series titled "Evaluating Vector Expressions."
Sophia Learning
Sophia: Evaluating Vector Expressions: Lesson 5
This lesson explains how to evaluate vector expressions. It is 5 of 7 in the series titled "Evaluating Vector Expressions."
Sophia Learning
Sophia: Evaluating Vector Expressions: Lesson 7
This lesson explains how to evaluate vector expressions. It is 7 of 7 in the series titled "Evaluating Vector Expressions."
Sophia Learning
Sophia: Finding the Angle Between Two Vectors: Lesson 2
This lesson explains how to find the angle between two vectors. It is 2 of 7 in the series titled "Finding the Angle Between Two Vectors."
Sophia Learning
Sophia: Finding the Angle Between Two Vectors: Lesson 3
This lesson explains how to find the angle between two vectors. It is 3 of 7 in the series titled "Finding the Angle Between Two Vectors."
Sophia Learning
Sophia: Finding the Angle Between Two Vectors: Lesson 4
This lesson explains how to find the angle between two vectors. It is 4 of 7 in the series titled "Finding the Angle Between Two Vectors."